Number worksheet — GCSE Foundation

1.Simplify 2³ × 2⁴, giving your answer as a single power of 2.

2.Work out an estimate for 8,900 ÷ 29, by rounding each number to 1 significant figure.

3.Two allotments are combined. Allotment A grows vegetables and flowers in the ratio 3 : 2, and has 20 plots in total. Allotment B grows vegetables and flowers in the ratio 1 : 4, and has 20 plots in total. Work out the fraction of all the plots, in both allotments combined, that grow vegetables.

4.Sam compares 0.6 and 5/8 by comparing the digit 6 with the digit 5, and says that 0.6 is the larger number. Convert 5/8 to a decimal to find the correct larger value.

5.Bella's electricity supplier charges 28.5p per unit (kWh). Last month she used 340 units. Work out the total cost, giving your answer in pounds.

6.A laptop costs £720. A carrying case for it costs 1/9 of the price of the laptop. Work out the cost of the carrying case.

7.Work out 4368 ÷ 12.

8.A three-digit code is made using the digits 1, 2 and 3, and each digit may be used more than once. Work out how many different three-digit codes can be made.

9.Write down the reciprocal of 0.2

10.2/3 of an amount of money is £30. Work out the amount.

11.Work out (4 × 10⁻³) × (2 × 10⁵). Give your answer in standard form.

12.A fruit bowl contains apples, pears and plums in the ratio 3 : 4 : 5. What fraction of the fruit are not plums?

13.Work out 1 1/2 ÷ 3/4 exactly, giving your answer in its simplest form.

14.Write the mixed number 2 1/4 as an improper fraction.

15.A student works out the exact area of a circle with radius 4 cm by squaring the radius but forgetting to multiply by π. Work out the correct exact area of the circle, in terms of π.